UNIQUENESS OF MEROMORPHIC FUNCTIONS THAT SHARE VALUES IM WITH THEIR DERIVATIVES: Uniqueness of meromorphic functions that share values IM with their derivatives

Authors: Saha, Biswajit, Pal, Subrata

Source: Electronic Journal of Mathematical Analysis and Applications. 13:1-10

Subject Terms: differential polynomial, uniqueness, meromorphic function, Nonlinear ordinary differential equations and systems, Entire and meromorphic solutions to ordinary differential equations in the complex domain, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, shift polynomial

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SOME RESULTS DUE TO UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING NON-LINEAR DIFFERENTIAL POLYNOMIALS: Some results due to uniqueness of meromorphic functions concerning nonlinear differential polynomials

Authors: Saha, Biswajit, Pal, Subrata

Source: Journal of Fractional Calculus and Applications. 16:1-14

Subject Terms: weighted sharing, differential polynomial, uniqueness, meromorphic function, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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A note on Hayman’s problem: A note on Hayman's problem

Authors: Jiaxing Huang, Yuefei Wang

Source: Canadian Mathematical Bulletin. 68:620-627

Subject Terms: Mathematics - Complex Variables, zero distributions, FOS: Mathematics, meromorphic functions, Normal functions of one complex variable, normal families, 0101 mathematics, Complex Variables (math.CV), Hayman's problem, Meromorphic functions of one complex variable (general theory), differential polynomials, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: http://arxiv.org/abs/2212.01063

Meromorphic functions that share three limit values with their derivatives

Authors: Andreas Sauer

Source: The Journal of Analysis. 33:819-823

Subject Terms: meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), sharing values, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions

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Meromorphic Function Sharing Two Pairs of Small Functions IM: Meromorphic function sharing two pairs of small functions IM

Authors: Majumder, S., Sarkar, N., Sarkar, J.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:349-364

Subject Terms: uniqueness, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Two meromorphic functions sharing some pairs of values on an annuli

Authors: Huong Giang Ha

Source: The Journal of Analysis. 33:427-438

Subject Terms: meromorphic functions on an annulus, Möbius transformation, Meromorphic functions of one complex variable (general theory), sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/8035355
https://doi.org/10.1007/s41478-024-00843-z

Investigations on uniqueness of meromorphic functions in the k-punctured complex plane: Investigations on uniqueness of meromorphic functions in the \(k\)-punctured complex plane

Authors: Maity, Sayantan

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 73:3065-3076

Subject Terms: \(k\)-punctured complex plane, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7960869
https://doi.org/10.1007/s12215-024-01090-8

Uniqueness Result Concerning First Derivative and Difference of a Meromorphic Function andSufficient Condition for Periodicity: Uniqueness result concerning first derivative and difference of a meromorphic function and sufficient condition for periodicity

Authors: Majumder, S., Sarkar, N.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:199-208

Subject Terms: uniqueness, meromorphic functions, Meromorphic functions of one complex variable (general theory), sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Power of an Entire Function Sharing One Value Partially with Its Derivative: Power of an entire function sharing one value partially with its derivative

Authors: Majumder, S., Sarkar, J.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:138-150

Subject Terms: Entire functions of one complex variable (general theory), uniqueness, sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions

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Access URL: https://zbmath.org/7911066
https://doi.org/10.3103/s1068362324700043

Representation of Finite Order Solutions to Linear Differential Equations with Exponential Sum Coefficients: Representation of finite order solutions to linear differential equations with exponential sum coefficients

Authors: Xing-Yu Li, Jun Wang, Zhi-Tao Wen

Source: Journal of Differential Equations. 423:118-132

Subject Terms: exponential sum, Linear ordinary differential equations and systems in the complex domain, Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, finite order solution, Complex Variables (math.CV), Gol'dberg-Ostrovskiǐ's problem, completely regular growth, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Primary 34M05, Secondary 30D35

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Access URL: http://arxiv.org/abs/2412.15613
https://zbmath.org/7991649
https://doi.org/10.1016/j.jde.2024.12.035

UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS: Unicity of meromorphic functions concerning derivatives-difference and small functions

Authors: Wang, Ge, He, Zhiying, Fang, Mingliang

Source: Journal of Applied Analysis & Computation. 14:2845-2861

Subject Terms: sharing of small functions, uniqueness, meromorphic functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7924349
https://doi.org/10.11948/20230454

Entire Functions and Their High Order Difference Operators: Entire functions and their high order difference operators

Authors: Majumder, S., Sarkar, N., Pramanik, D.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 58:405-415

Subject Terms: Entire functions of one complex variable (general theory), Oscillation, growth of solutions to ordinary differential equations in the complex domain, sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions, difference operators

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Access URL: https://zbmath.org/7819939
https://doi.org/10.3103/s1068362323060043

Meromorphic functions sharing three values with their shift

Authors: Majumder, Sujoy, Das, Pradip

Source: Ukrains’kyi Matematychnyi Zhurnal. 76

Subject Terms: sharing small periodic functions, uniqueness, meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7950602
https://doi.org/10.1007/s11253-024-02368-x

Entire function sharing two polynomials with its $k$th derivative: Entire function sharing two polynomials with its \(k\)th derivative.

Authors: Sujoy Majumder, Nabadwip Sarkar

Source: Mathematica Bohemica, Vol 149, Iss 1, Pp 87-103 (2024)

Subject Terms: Nevanlinna theory, QA1-939, nevanlinna theory, meromorphic function, derivative, uniqueness, Normal functions of one complex variable, normal families, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7830546
https://doi.org/10.21136/mb.2023.0017-22
https://doaj.org/article/7897b95d0448485c8825ca11b3db45b6

On the uniqueness problems of entire functions and their linear differential polynomials

Authors: Majumder, Sujoy, Sarkar, Nabadwip, Das, Pradip

Source: Bulletin of the Belgian Mathematical Society - Simon Stevin. 31

Subject Terms: Entire functions of one complex variable (general theory), uniqueness, sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions

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Access URL: https://zbmath.org/7855071
https://doi.org/10.36045/j.bbms.231009

NON-EXISTENCE OF ENTIRE SOLUTIONS OF NON-LINEAR GENERAL DIFFERENCE EQUATIONS: Non-existence of entire solutions of non-linear general difference equations

Authors: Dyavanal, Renukadevi S., Angadi, Deepa N.

Source: South East Asian J. of Mathematics and Mathematical Sciences. 18:27-38

Subject Terms: finite order, Nevanlinna theory, non-linear difference polynomial of a function, transcendental entire function, meromorphic function, small function, Value distribution theory in higher dimensions, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7601441

Universal radial limits of meromorphic functions in the unit disk

Authors: Meyrath, Thierry

Source: Comptes Rendus. Mathématique, Vol 360, Iss G8, Pp 893-898 (2022)

Subject Terms: QA1-939, universality, Cluster sets, prime ends, boundary behavior, 0101 mathematics, Universal functions of one complex variable, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, universal meromorphic functions

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Access URL: https://doaj.org/article/1488281e6d1c4b1d86ae81ab95b932c5

A truncated second main theorem for algebraic tori with moving targets and applications

Authors: Guo, Ji, Sun, Chia-Liang, Wang, Julie Tzu-Yueh

Source: Journal of the London Mathematical Society. 106:3670-3686

Subject Terms: Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, General properties of functions of one complex variable, 30D35 (Primary), 30A70, 11J97(Secondary)

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Access URL: http://arxiv.org/abs/2103.16087
https://zbmath.org/8027266
https://doi.org/10.1112/jlms.12670

Growth of solutions of complex differential equations with entire coefficients having a multiply-connected Fatou component

Authors: Naveen Mehra, Garima Pant, S. K. Chanyal

Source: Indian Journal of Pure and Applied Mathematics. 54:895-906

Subject Terms: Mathematics - Complex Variables, entire function, FOS: Mathematics, multiply-connected Fatou component, Oscillation, growth of solutions to ordinary differential equations in the complex domain, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, order of growth

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Access URL: http://arxiv.org/abs/2111.14374

Generalizations of degeneracy second main theorem and Schmidt’s subspace theorem: Generalizations of degeneracy second main theorem and Schmidt's subspace theorem

Authors: Si Duc Quang

Source: Pacific Journal of Mathematics. 318:153-188

Subject Terms: second main theorem, homogeneous polynomial, Nevanlinna theory, meromorphic mapping, subgeneral position, Mathematics - Complex Variables, Approximation to algebraic numbers, subspace theorem, hypersurface, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Diophantine inequalities, Diophantine approximation, FOS: Mathematics, 32H30, 32A22, 30D35, 11J68, 11J25, Complex Variables (math.CV), 0101 mathematics, growth estimates, other inequalities of several complex variables, Value distribution theory in higher dimensions

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Access URL: http://arxiv.org/abs/2012.07204
https://zbmath.org/7566668
https://doi.org/10.2140/pjm.2022.318.153